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Finding the Third Proportional to 3,304.23 and 7,222.61

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Solution

The third proportional to 3,304.23 and 7,222.61 is: 15,787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.23 : 7,222.61 = 7,222.61 : x
  2. Step 2: Convert to fraction form
    3,304.23/7,222.61 = 7,222.61/x
  3. Step 3: Cross multiply
    3,304.23x = 7,222.61 × 7,222.61
  4. Step 4: Simplify right side
    3,304.23x = 52,166,029.76
  5. Step 5: Solve for x
    x = 52,166,029.76/3,304.23
  6. Step 6: Final answer
    x = 15,787.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.